Atkin-Lehner |
3- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775bi |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-50938875 = -1 · 36 · 53 · 13 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 6 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,-3108] |
[a1,a2,a3,a4,a6] |
Generators |
[78:620:1] |
Generators of the group modulo torsion |
j |
-83453453/559 |
j-invariant |
L |
4.7666501547479 |
L(r)(E,1)/r! |
Ω |
0.53037442362414 |
Real period |
R |
4.4936651844043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13975g1 125775bd1 |
Quadratic twists by: -3 5 |